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Finding the Third Proportional to 115,913 and 244,487

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Solution

The third proportional to 115,913 and 244,487 is: 515,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,913 : 244,487 = 244,487 : x
  2. Step 2: Convert to fraction form
    115,913/244,487 = 244,487/x
  3. Step 3: Cross multiply
    115,913x = 244,487 × 244,487
  4. Step 4: Simplify right side
    115,913x = 59,773,893,169
  5. Step 5: Solve for x
    x = 59,773,893,169/115,913
  6. Step 6: Final answer
    x = 515,678.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.